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Related Concept Videos

Crystal Field Theory - Octahedral Complexes02:58

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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Lattice Centering and Coordination Number02:33

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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Valence Bond Theory and Hybridized Orbitals02:38

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According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
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Molecular Orbital Energy Diagrams
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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Approaching Coupled Cluster Accuracy with Density Functional Theory Using the Generalized Connectivity-Based

Krishnan Raghavachari1, Sarah Maier1, Eric M Collins1

  • 1Department of Chemistry, Indiana University, Bloomington, Indiana 47405, United States.

Journal of Chemical Theory and Computation
|June 20, 2023
PubMed
Summary
This summary is machine-generated.

Connectivity-based hierarchy (CBH) achieves coupled cluster accuracy with DFT costs. This method corrects systematic errors in small molecular fragments, enabling accurate predictions for diverse chemical applications.

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Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Quantum Chemistry

Background:

  • The Pople isodesmic bond separation scheme is a foundational method for calculating molecular energies.
  • Accurate computational chemistry often requires computationally expensive high-level methods.
  • Density Functional Theory (DFT) methods can suffer from systematic errors due to approximations.

Purpose of the Study:

  • To review the Connectivity-based Hierarchy (CBH) method for achieving chemical accuracy.
  • To demonstrate CBH's applicability to a wide range of organic and biomolecular systems.
  • To showcase CBH's ability to yield accurate results irrespective of the DFT functional used.

Main Methods:

  • Generalization of Pople's isodesmic scheme using molecular structure and connectivity.
  • Formulation as a series of rungs with increasing error cancellation on molecular fragments.
  • Application of CBH to diverse chemical problems including reaction energies, bond energies, redox potentials, and pKa.

Main Results:

  • Near-chemical accuracy (1-2 kcal/mol) achieved across various applications using DFT.
  • CBH effectively corrects systematic errors in small molecular fragments.
  • The method provides coupled cluster accuracy at the computational cost of DFT.

Conclusions:

  • CBH offers a cost-effective route to highly accurate computational chemistry predictions.
  • The systematic correction of errors in local fragments is key to CBH's success.
  • CBH is a versatile tool applicable to complex organic and biomolecular systems.